{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# PDE-FIND for the Korteweg–de Vries Equation\n",
    "\n",
    "Samuel Rudy, 2016\n",
    "\n",
    "This notebook demonstrates PDE-FIND on the Korteweg–de Vries equation.\n",
    "$$\n",
    "u_t + 6uu_x + u_{xxx} = 0\n",
    "$$\n",
    "The solution given is a two soliton solution without interaction between them.  It also works fine if they do interact."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Populating the interactive namespace from numpy and matplotlib\n"
     ]
    }
   ],
   "source": [
    "%pylab inline\n",
    "pylab.rcParams['figure.figsize'] = (12, 8)\n",
    "import numpy as np\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "from PDE_FIND import *\n",
    "import scipy.io as sio"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Load data\n",
    "data = sio.loadmat('./canonicalPDEs/kdv.mat')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "U = real(data['usol'])\n",
    "x = data['x'][0]\n",
    "t = data['t'][:,0]\n",
    "n,m = U.shape #512, 201\n",
    "dt = t[1]-t[0]\n",
    "dx = x[1]-x[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.text.Text at 0x7fd42f915dd0>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAqsAAAHMCAYAAADyAuGOAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nShAEQRAEQUQtJFYJgiAIgiCIqOX/Az3QfqELQ89pAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fd42f958f90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "X, T = np.meshgrid(x, t)\n",
    "fig = figure()\n",
    "ax = fig.gca(projection='3d')\n",
    "surf = ax.plot_surface(X, T, U.T, rstride=1, cstride=1, cmap=cm.coolwarm,\n",
    "    linewidth=0, antialiased=False)\n",
    "title('Two soliton Solution to KdV', fontsize = 20)\n",
    "xlabel('x', fontsize = 16)\n",
    "ylabel('t', fontsize = 16)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Construct $\\Theta (U)$ and compute $U_t$\n",
    "\n",
    "The function build_linear_system does this for us.  We specify <br>\n",
    "D = highest derivative to appear in $\\Theta$  <br>\n",
    "P = highest degree polynomial of $u$ to appear in $\\Theta$ (not including multiplication by a derivative.  <br>\n",
    "time_diff and space_diff taken via finite differences\n",
    "\n",
    "Printed out is a list of candidate functions for the PDE.  Each is a column of $\\Theta (U)$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['1',\n",
       " 'u',\n",
       " 'u^2',\n",
       " 'u_{x}',\n",
       " 'uu_{x}',\n",
       " 'u^2u_{x}',\n",
       " 'u_{xx}',\n",
       " 'uu_{xx}',\n",
       " 'u^2u_{xx}',\n",
       " 'u_{xxx}',\n",
       " 'uu_{xxx}',\n",
       " 'u^2u_{xxx}']"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Ut, R, rhs_des = build_linear_system(U, dt, dx, D=3, P=2, time_diff = 'FD', space_diff = 'FD')\n",
    "['1']+rhs_des[1:]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Solve for $\\xi$\n",
    "\n",
    "TrainSTRidge splits the data up into 80% for training and 20% for validation.  It searches over various tolerances in the STRidge algorithm and finds the one with the best performance on the validation set, including an $\\ell^0$ penalty for $\\xi$ in the loss function."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "PDE derived using STRidge\n",
      "u_t = (-5.956504 +0.000000i)uu_{x}\n",
      "    + (-0.988106 +0.000000i)u_{xxx}\n",
      "   \n"
     ]
    }
   ],
   "source": [
    "# Solve with STRidge using 2-norm normalization\n",
    "w = TrainSTRidge(R,Ut,10**-5,5)\n",
    "print \"PDE derived using STRidge\"\n",
    "print_pde(w, rhs_des)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.957166666667\n",
      "0.232233333333\n"
     ]
    }
   ],
   "source": [
    "err = abs(np.array([(6 - 5.956504)*100/6, (1 - 0.988106)*100]))\n",
    "print mean(err)\n",
    "print std(err)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Now identify the same dynamics but with added noise.\n",
    "\n",
    "The only difference from above is that finite differences work poorly for noisy data so here we use polynomial interpolation.  With deg_x or deg_t and width_x or width_t we specify the degree number of points used to fit the polynomials used for differentiating x or t.  Unfortunately, the result can be sensitive to these."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "numpy.random.seed(0)\n",
    "Un = U + 0.01*std(U)*np.random.randn(n,m)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "Utn, Rn, rhs_des = build_linear_system(Un, dt, dx, D=3, P=2, \n",
    "                                 time_diff = 'poly', space_diff = 'poly', \n",
    "                                 width_x = 20, width_t = 10, deg_x = 5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "PDE derived using STRidge\n",
      "u_t = (-6.152522 +0.000000i)uu_{x}\n",
      "    + (-1.124033 +0.000000i)u_{xxx}\n",
      "   \n"
     ]
    }
   ],
   "source": [
    "# Solve with STRidge using 2-norm normalization\n",
    "wn = TrainSTRidge(Rn,Utn,10**-5,5)\n",
    "print \"PDE derived using STRidge\"\n",
    "print_pde(wn, rhs_des)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "7.47266666667\n",
      "4.93063333333\n"
     ]
    }
   ],
   "source": [
    "err = abs(np.array([(6 - 6.152522)*100/6, (1 - 1.124033)*100]))\n",
    "print mean(err)\n",
    "print std(err)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "PDE derived using Lasso\n",
      "u_t = (-0.741334 +0.000000i)u_{x}\n",
      "    + (-0.711727 +0.000000i)uu_{x}\n",
      "   \n"
     ]
    }
   ],
   "source": [
    "# Solve with Lasso.  It doesn't work :(\n",
    "wn = Lasso(Rn,Utn,10)\n",
    "print \"PDE derived using Lasso\"\n",
    "print_pde(wn, rhs_des)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.12"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
